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Simplifying 7a + -7 = 12(a + -4) Reorder the terms: -7 + 7a = 12(a + -4) Reorder the terms: -7 + 7a = 12(-4 + a) -7 + 7a = (-4 * 12 + a * 12) -7 + 7a = (-48 + 12a) Solving -7 + 7a = -48 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -7 + 7a + -12a = -48 + 12a + -12a Combine like terms: 7a + -12a = -5a -7 + -5a = -48 + 12a + -12a Combine like terms: 12a + -12a = 0 -7 + -5a = -48 + 0 -7 + -5a = -48 Add '7' to each side of the equation. -7 + 7 + -5a = -48 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = -48 + 7 -5a = -48 + 7 Combine like terms: -48 + 7 = -41 -5a = -41 Divide each side by '-5'. a = 8.2 Simplifying a = 8.2
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