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Simplifying 7(10a + 8) + -2(a + -5) = -70 Reorder the terms: 7(8 + 10a) + -2(a + -5) = -70 (8 * 7 + 10a * 7) + -2(a + -5) = -70 (56 + 70a) + -2(a + -5) = -70 Reorder the terms: 56 + 70a + -2(-5 + a) = -70 56 + 70a + (-5 * -2 + a * -2) = -70 56 + 70a + (10 + -2a) = -70 Reorder the terms: 56 + 10 + 70a + -2a = -70 Combine like terms: 56 + 10 = 66 66 + 70a + -2a = -70 Combine like terms: 70a + -2a = 68a 66 + 68a = -70 Solving 66 + 68a = -70 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 68a = -70 + -66 Combine like terms: 66 + -66 = 0 0 + 68a = -70 + -66 68a = -70 + -66 Combine like terms: -70 + -66 = -136 68a = -136 Divide each side by '68'. a = -2 Simplifying a = -2
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