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Simplifying (x + 0.01y + 0.04z) = (x + 0.01y + 0.04z) + -0.01(x + 0.01y + 0.04z) + -0.04(x + 0.01y + 0.04z) Remove parenthesis around (x + 0.01y + 0.04z) x + 0.01y + 0.04z = (x + 0.01y + 0.04z) + -0.01(x + 0.01y + 0.04z) + -0.04(x + 0.01y + 0.04z) Remove parenthesis around (x + 0.01y + 0.04z) x + 0.01y + 0.04z = x + 0.01y + 0.04z + -0.01(x + 0.01y + 0.04z) + -0.04(x + 0.01y + 0.04z) x + 0.01y + 0.04z = x + 0.01y + 0.04z + (x * -0.01 + 0.01y * -0.01 + 0.04z * -0.01) + -0.04(x + 0.01y + 0.04z) x + 0.01y + 0.04z = x + 0.01y + 0.04z + (-0.01x + -0.0001y + -0.0004z) + -0.04(x + 0.01y + 0.04z) x + 0.01y + 0.04z = x + 0.01y + 0.04z + -0.01x + -0.0001y + -0.0004z + (x * -0.04 + 0.01y * -0.04 + 0.04z * -0.04) x + 0.01y + 0.04z = x + 0.01y + 0.04z + -0.01x + -0.0001y + -0.0004z + (-0.04x + -0.0004y + -0.0016z) Reorder the terms: x + 0.01y + 0.04z = x + -0.01x + -0.04x + 0.01y + -0.0001y + -0.0004y + 0.04z + -0.0004z + -0.0016z Combine like terms: x + -0.01x = 0.99x x + 0.01y + 0.04z = 0.99x + -0.04x + 0.01y + -0.0001y + -0.0004y + 0.04z + -0.0004z + -0.0016z Combine like terms: 0.99x + -0.04x = 0.95x x + 0.01y + 0.04z = 0.95x + 0.01y + -0.0001y + -0.0004y + 0.04z + -0.0004z + -0.0016z Combine like terms: 0.01y + -0.0001y = 0.0099y x + 0.01y + 0.04z = 0.95x + 0.0099y + -0.0004y + 0.04z + -0.0004z + -0.0016z Combine like terms: 0.0099y + -0.0004y = 0.0095y x + 0.01y + 0.04z = 0.95x + 0.0095y + 0.04z + -0.0004z + -0.0016z Combine like terms: 0.04z + -0.0004z = 0.0396z x + 0.01y + 0.04z = 0.95x + 0.0095y + 0.0396z + -0.0016z Combine like terms: 0.0396z + -0.0016z = 0.038z x + 0.01y + 0.04z = 0.95x + 0.0095y + 0.038z Solving x + 0.01y + 0.04z = 0.95x + 0.0095y + 0.038z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.95x' to each side of the equation. x + 0.01y + -0.95x + 0.04z = 0.95x + 0.0095y + -0.95x + 0.038z Reorder the terms: x + -0.95x + 0.01y + 0.04z = 0.95x + 0.0095y + -0.95x + 0.038z Combine like terms: x + -0.95x = 0.05x 0.05x + 0.01y + 0.04z = 0.95x + 0.0095y + -0.95x + 0.038z Reorder the terms: 0.05x + 0.01y + 0.04z = 0.95x + -0.95x + 0.0095y + 0.038z Combine like terms: 0.95x + -0.95x = 0.00 0.05x + 0.01y + 0.04z = 0.00 + 0.0095y + 0.038z 0.05x + 0.01y + 0.04z = 0.0095y + 0.038z Add '-0.01y' to each side of the equation. 0.05x + 0.01y + -0.01y + 0.04z = 0.0095y + -0.01y + 0.038z Combine like terms: 0.01y + -0.01y = 0.00 0.05x + 0.00 + 0.04z = 0.0095y + -0.01y + 0.038z 0.05x + 0.04z = 0.0095y + -0.01y + 0.038z Combine like terms: 0.0095y + -0.01y = -0.0005y 0.05x + 0.04z = -0.0005y + 0.038z Add '-0.04z' to each side of the equation. 0.05x + 0.04z + -0.04z = -0.0005y + 0.038z + -0.04z Combine like terms: 0.04z + -0.04z = 0.00 0.05x + 0.00 = -0.0005y + 0.038z + -0.04z 0.05x = -0.0005y + 0.038z + -0.04z Combine like terms: 0.038z + -0.04z = -0.002z 0.05x = -0.0005y + -0.002z Divide each side by '0.05'. x = -0.01y + -0.04z Simplifying x = -0.01y + -0.04z
| -9n+2=-7n-4 | | -5n+12=-3n-8 | | 2n^2-5n-1=0 | | -4y-11=5y+43 | | -10c(x+5)+62=-19-19 | | 4x^2+8x=9 | | -10c(x+5)+62=19-19 | | 2(-4)+3=10 | | 2m^2-15m+25=0 | | x+6-9x=30 | | 3(3c-1)-6=6c+3 | | 2(4)+3=10 | | 2(4)+18=10 | | 8x-1=9x+5 | | 5(x-3)-30=0 | | 23+4y-6=13y-11-2y | | y^2-12y+34=0 | | x+23+4x=-23-4x-26 | | 2(g+6)=-20 | | 2(-4)+18=10 | | 4x^3-20=12 | | 25-6x=5x+4x | | 1.4b=b+8 | | 0=4x^2-12x+58 | | 2(4)+(3)=10 | | 6x-5=7x-9 | | 5d+2d+4d+1d=6 | | 3(3y+2)=-3y-18 | | 2a+8a=-15 | | 15a^2=36+33a | | 4x^2-6+1= | | 15a^2=36a+30 |