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Simplifying 6(a + -7) + 15 = 3(a + -5) Reorder the terms: 6(-7 + a) + 15 = 3(a + -5) (-7 * 6 + a * 6) + 15 = 3(a + -5) (-42 + 6a) + 15 = 3(a + -5) Reorder the terms: -42 + 15 + 6a = 3(a + -5) Combine like terms: -42 + 15 = -27 -27 + 6a = 3(a + -5) Reorder the terms: -27 + 6a = 3(-5 + a) -27 + 6a = (-5 * 3 + a * 3) -27 + 6a = (-15 + 3a) Solving -27 + 6a = -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. -27 + 6a + -3a = -15 + 3a + -3a Combine like terms: 6a + -3a = 3a -27 + 3a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -27 + 3a = -15 + 0 -27 + 3a = -15 Add '27' to each side of the equation. -27 + 27 + 3a = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 3a = -15 + 27 3a = -15 + 27 Combine like terms: -15 + 27 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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