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Simplifying 5(a + -7) + 15 = 3(a + -6) Reorder the terms: 5(-7 + a) + 15 = 3(a + -6) (-7 * 5 + a * 5) + 15 = 3(a + -6) (-35 + 5a) + 15 = 3(a + -6) Reorder the terms: -35 + 15 + 5a = 3(a + -6) Combine like terms: -35 + 15 = -20 -20 + 5a = 3(a + -6) Reorder the terms: -20 + 5a = 3(-6 + a) -20 + 5a = (-6 * 3 + a * 3) -20 + 5a = (-18 + 3a) Solving -20 + 5a = -18 + 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. -20 + 5a + -3a = -18 + 3a + -3a Combine like terms: 5a + -3a = 2a -20 + 2a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 2a = -18 + 0 -20 + 2a = -18 Add '20' to each side of the equation. -20 + 20 + 2a = -18 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = -18 + 20 2a = -18 + 20 Combine like terms: -18 + 20 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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