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Simplifying -3(5a + -8) = -16 + -7a Reorder the terms: -3(-8 + 5a) = -16 + -7a (-8 * -3 + 5a * -3) = -16 + -7a (24 + -15a) = -16 + -7a Solving 24 + -15a = -16 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 24 + -15a + 7a = -16 + -7a + 7a Combine like terms: -15a + 7a = -8a 24 + -8a = -16 + -7a + 7a Combine like terms: -7a + 7a = 0 24 + -8a = -16 + 0 24 + -8a = -16 Add '-24' to each side of the equation. 24 + -24 + -8a = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = -16 + -24 -8a = -16 + -24 Combine like terms: -16 + -24 = -40 -8a = -40 Divide each side by '-8'. a = 5 Simplifying a = 5
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