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Simplifying 2(a + -2) = 3(a + -5) Reorder the terms: 2(-2 + a) = 3(a + -5) (-2 * 2 + a * 2) = 3(a + -5) (-4 + 2a) = 3(a + -5) Reorder the terms: -4 + 2a = 3(-5 + a) -4 + 2a = (-5 * 3 + a * 3) -4 + 2a = (-15 + 3a) Solving -4 + 2a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -4 + 2a + -3a = -15 + 3a + -3a Combine like terms: 2a + -3a = -1a -4 + -1a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + -1a = -15 + 0 -4 + -1a = -15 Add '4' to each side of the equation. -4 + 4 + -1a = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = -15 + 4 -1a = -15 + 4 Combine like terms: -15 + 4 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11
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