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Simplifying -6a + -15 = -3(a + -7) Reorder the terms: -15 + -6a = -3(a + -7) Reorder the terms: -15 + -6a = -3(-7 + a) -15 + -6a = (-7 * -3 + a * -3) -15 + -6a = (21 + -3a) Solving -15 + -6a = 21 + -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. -15 + -6a + 3a = 21 + -3a + 3a Combine like terms: -6a + 3a = -3a -15 + -3a = 21 + -3a + 3a Combine like terms: -3a + 3a = 0 -15 + -3a = 21 + 0 -15 + -3a = 21 Add '15' to each side of the equation. -15 + 15 + -3a = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -3a = 21 + 15 -3a = 21 + 15 Combine like terms: 21 + 15 = 36 -3a = 36 Divide each side by '-3'. a = -12 Simplifying a = -12
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