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Simplifying 10(7 + 2a) = -12(a + 5) + 6a (7 * 10 + 2a * 10) = -12(a + 5) + 6a (70 + 20a) = -12(a + 5) + 6a Reorder the terms: 70 + 20a = -12(5 + a) + 6a 70 + 20a = (5 * -12 + a * -12) + 6a 70 + 20a = (-60 + -12a) + 6a Combine like terms: -12a + 6a = -6a 70 + 20a = -60 + -6a Solving 70 + 20a = -60 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 70 + 20a + 6a = -60 + -6a + 6a Combine like terms: 20a + 6a = 26a 70 + 26a = -60 + -6a + 6a Combine like terms: -6a + 6a = 0 70 + 26a = -60 + 0 70 + 26a = -60 Add '-70' to each side of the equation. 70 + -70 + 26a = -60 + -70 Combine like terms: 70 + -70 = 0 0 + 26a = -60 + -70 26a = -60 + -70 Combine like terms: -60 + -70 = -130 26a = -130 Divide each side by '26'. a = -5 Simplifying a = -5
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