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Simplifying 2(3a + -7) + 5(1 + -2a) = 2(a + 6) + 3(1 + -3a) Reorder the terms: 2(-7 + 3a) + 5(1 + -2a) = 2(a + 6) + 3(1 + -3a) (-7 * 2 + 3a * 2) + 5(1 + -2a) = 2(a + 6) + 3(1 + -3a) (-14 + 6a) + 5(1 + -2a) = 2(a + 6) + 3(1 + -3a) -14 + 6a + (1 * 5 + -2a * 5) = 2(a + 6) + 3(1 + -3a) -14 + 6a + (5 + -10a) = 2(a + 6) + 3(1 + -3a) Reorder the terms: -14 + 5 + 6a + -10a = 2(a + 6) + 3(1 + -3a) Combine like terms: -14 + 5 = -9 -9 + 6a + -10a = 2(a + 6) + 3(1 + -3a) Combine like terms: 6a + -10a = -4a -9 + -4a = 2(a + 6) + 3(1 + -3a) Reorder the terms: -9 + -4a = 2(6 + a) + 3(1 + -3a) -9 + -4a = (6 * 2 + a * 2) + 3(1 + -3a) -9 + -4a = (12 + 2a) + 3(1 + -3a) -9 + -4a = 12 + 2a + (1 * 3 + -3a * 3) -9 + -4a = 12 + 2a + (3 + -9a) Reorder the terms: -9 + -4a = 12 + 3 + 2a + -9a Combine like terms: 12 + 3 = 15 -9 + -4a = 15 + 2a + -9a Combine like terms: 2a + -9a = -7a -9 + -4a = 15 + -7a Solving -9 + -4a = 15 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -9 + -4a + 7a = 15 + -7a + 7a Combine like terms: -4a + 7a = 3a -9 + 3a = 15 + -7a + 7a Combine like terms: -7a + 7a = 0 -9 + 3a = 15 + 0 -9 + 3a = 15 Add '9' to each side of the equation. -9 + 9 + 3a = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = 15 + 9 3a = 15 + 9 Combine like terms: 15 + 9 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
| cos^2(x)-sin^2(x)=-sin(x) | | 46=8/x | | .025*.036= | | x*59=167 | | ln(2x+3)+ln(-5x+4)=ln(-7+2) | | X+5+2x-9=180 | | 2x+9+x+5=180 | | 2xy=168 | | 58=7x-2x+3 | | D+e=1 | | 2(s+5)=34 | | -5(5x-6)=-95 | | x/4=25/12 | | 6x-3=6x-5 | | (x^2-25)/2 | | y=x^3+3x | | 3xy-2y+4yx= | | 3+8-3z-5-9z-1-6-4= | | 12ab+7-3ab+2= | | X+(.3*x)=12000000 | | 5y^3+20y^2-10y=0 | | y=(x-pi) | | (5/13)(x-5) | | -2a=35.24 | | 6x-19=2(x-1)+11 | | -2(-3/2)^2 | | 5.25*36= | | x(x)+7=29 | | C(n)=20n+15 | | ln(y+1)+ln(y-1)=2x+ln(x) | | 100-q=25 | | 5x-5+55=180 |