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Simplifying 0.3(3z + 5) + 13.5 = 0.5(3z + -6) Reorder the terms: 0.3(5 + 3z) + 13.5 = 0.5(3z + -6) (5 * 0.3 + 3z * 0.3) + 13.5 = 0.5(3z + -6) (1.5 + 0.9z) + 13.5 = 0.5(3z + -6) Reorder the terms: 1.5 + 13.5 + 0.9z = 0.5(3z + -6) Combine like terms: 1.5 + 13.5 = 15 15 + 0.9z = 0.5(3z + -6) Reorder the terms: 15 + 0.9z = 0.5(-6 + 3z) 15 + 0.9z = (-6 * 0.5 + 3z * 0.5) 15 + 0.9z = (-3 + 1.5z) Solving 15 + 0.9z = -3 + 1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5z' to each side of the equation. 15 + 0.9z + -1.5z = -3 + 1.5z + -1.5z Combine like terms: 0.9z + -1.5z = -0.6z 15 + -0.6z = -3 + 1.5z + -1.5z Combine like terms: 1.5z + -1.5z = 0.0 15 + -0.6z = -3 + 0.0 15 + -0.6z = -3 Add '-15' to each side of the equation. 15 + -15 + -0.6z = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -0.6z = -3 + -15 -0.6z = -3 + -15 Combine like terms: -3 + -15 = -18 -0.6z = -18 Divide each side by '-0.6'. z = 30 Simplifying z = 30
| 59.00+x=60.12 | | 10-3x=10+4 | | 8c=52 | | 7+-3x=5+4x+11+-16x | | 3x+x+6+2x-25+4x-11=180 | | -4.5[2x(0.5-1.4)]= | | x^3-11x+10=0 | | 0.5x+1.25=4.75 | | x+(x+2)+(x+4)=225 | | 0=300-15p | | 3(14x-15)=27 | | (3x+6)+(2x-1)+(90)=180 | | 8-3k=-6+7(6k+2) | | 300=50+10p | | y=x^2+12x+1 | | 560=5+18.5x | | y=5+18.5(42) | | -31-5=10x-7x | | 7h-23=33 | | 2.6+8.4n=-(-8n-2) | | (x+3)-(x-4)= | | 5(3a-2)+2a= | | (3x-7)(2x+9)=0 | | 16t-t^2=60 | | f(x)=x^3-7x^2+65x-159 | | 4y+5=2y-11 | | (5x-7)=(2x+5) | | 377.62=-5.17x+401.87 | | 377.62=-5.17+401.87 | | 6x(4y)= | | x+1.25x=1293.75 | | 5m+3=42 |