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Simplifying 5(a + 1) = 6(a + -2) Reorder the terms: 5(1 + a) = 6(a + -2) (1 * 5 + a * 5) = 6(a + -2) (5 + 5a) = 6(a + -2) Reorder the terms: 5 + 5a = 6(-2 + a) 5 + 5a = (-2 * 6 + a * 6) 5 + 5a = (-12 + 6a) Solving 5 + 5a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 5 + 5a + -6a = -12 + 6a + -6a Combine like terms: 5a + -6a = -1a 5 + -1a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -1a = -12 + 0 5 + -1a = -12 Add '-5' to each side of the equation. 5 + -5 + -1a = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = -12 + -5 -1a = -12 + -5 Combine like terms: -12 + -5 = -17 -1a = -17 Divide each side by '-1'. a = 17 Simplifying a = 17
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