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Simplifying 3(a + -4) = 7(9 + -1a) + -3 Reorder the terms: 3(-4 + a) = 7(9 + -1a) + -3 (-4 * 3 + a * 3) = 7(9 + -1a) + -3 (-12 + 3a) = 7(9 + -1a) + -3 -12 + 3a = (9 * 7 + -1a * 7) + -3 -12 + 3a = (63 + -7a) + -3 Reorder the terms: -12 + 3a = 63 + -3 + -7a Combine like terms: 63 + -3 = 60 -12 + 3a = 60 + -7a Solving -12 + 3a = 60 + -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. -12 + 3a + 7a = 60 + -7a + 7a Combine like terms: 3a + 7a = 10a -12 + 10a = 60 + -7a + 7a Combine like terms: -7a + 7a = 0 -12 + 10a = 60 + 0 -12 + 10a = 60 Add '12' to each side of the equation. -12 + 12 + 10a = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 10a = 60 + 12 10a = 60 + 12 Combine like terms: 60 + 12 = 72 10a = 72 Divide each side by '10'. a = 7.2 Simplifying a = 7.2
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