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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 = 9a -15 + 9a = 21 + -3a + 3a Combine like terms: -3a + 3a = 0 -15 + 9a = 21 + 0 -15 + 9a = 21 Add '15' to each side of the equation. -15 + 15 + 9a = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9a = 21 + 15 9a = 21 + 15 Combine like terms: 21 + 15 = 36 9a = 36 Divide each side by '9'. a = 4 Simplifying a = 4
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