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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 = 82a -70 + 82a = -48 + -40a + 40a Combine like terms: -40a + 40a = 0 -70 + 82a = -48 + 0 -70 + 82a = -48 Add '70' to each side of the equation. -70 + 70 + 82a = -48 + 70 Combine like terms: -70 + 70 = 0 0 + 82a = -48 + 70 82a = -48 + 70 Combine like terms: -48 + 70 = 22 82a = 22 Divide each side by '82'. a = 0.2682926829 Simplifying a = 0.2682926829
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