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Simplifying 2(a + -5) = 3(a + -5) Reorder the terms: 2(-5 + a) = 3(a + -5) (-5 * 2 + a * 2) = 3(a + -5) (-10 + 2a) = 3(a + -5) Reorder the terms: -10 + 2a = 3(-5 + a) -10 + 2a = (-5 * 3 + a * 3) -10 + 2a = (-15 + 3a) Solving -10 + 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. -10 + 2a + -3a = -15 + 3a + -3a Combine like terms: 2a + -3a = -1a -10 + -1a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + -1a = -15 + 0 -10 + -1a = -15 Add '10' to each side of the equation. -10 + 10 + -1a = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -1a = -15 + 10 -1a = -15 + 10 Combine like terms: -15 + 10 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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