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Simplifying 7(6a + -10) = -8(-5a + 6) Reorder the terms: 7(-10 + 6a) = -8(-5a + 6) (-10 * 7 + 6a * 7) = -8(-5a + 6) (-70 + 42a) = -8(-5a + 6) Reorder the terms: -70 + 42a = -8(6 + -5a) -70 + 42a = (6 * -8 + -5a * -8) -70 + 42a = (-48 + 40a) Solving -70 + 42a = -48 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -70 + 42a + -40a = -48 + 40a + -40a Combine like terms: 42a + -40a = 2a -70 + 2a = -48 + 40a + -40a Combine like terms: 40a + -40a = 0 -70 + 2a = -48 + 0 -70 + 2a = -48 Add '70' to each side of the equation. -70 + 70 + 2a = -48 + 70 Combine like terms: -70 + 70 = 0 0 + 2a = -48 + 70 2a = -48 + 70 Combine like terms: -48 + 70 = 22 2a = 22 Divide each side by '2'. a = 11 Simplifying a = 11
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