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Simplifying 2(a + -7) = 3(a + -5) Reorder the terms: 2(-7 + a) = 3(a + -5) (-7 * 2 + a * 2) = 3(a + -5) (-14 + 2a) = 3(a + -5) Reorder the terms: -14 + 2a = 3(-5 + a) -14 + 2a = (-5 * 3 + a * 3) -14 + 2a = (-15 + 3a) Solving -14 + 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. -14 + 2a + -3a = -15 + 3a + -3a Combine like terms: 2a + -3a = -1a -14 + -1a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -14 + -1a = -15 + 0 -14 + -1a = -15 Add '14' to each side of the equation. -14 + 14 + -1a = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -1a = -15 + 14 -1a = -15 + 14 Combine like terms: -15 + 14 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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