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Simplifying -8(6a + 7) = -30 + 2a Reorder the terms: -8(7 + 6a) = -30 + 2a (7 * -8 + 6a * -8) = -30 + 2a (-56 + -48a) = -30 + 2a Solving -56 + -48a = -30 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -56 + -48a + -2a = -30 + 2a + -2a Combine like terms: -48a + -2a = -50a -56 + -50a = -30 + 2a + -2a Combine like terms: 2a + -2a = 0 -56 + -50a = -30 + 0 -56 + -50a = -30 Add '56' to each side of the equation. -56 + 56 + -50a = -30 + 56 Combine like terms: -56 + 56 = 0 0 + -50a = -30 + 56 -50a = -30 + 56 Combine like terms: -30 + 56 = 26 -50a = 26 Divide each side by '-50'. a = -0.52 Simplifying a = -0.52
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