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Simplifying 35 + -8a = 7(6a + -3) Reorder the terms: 35 + -8a = 7(-3 + 6a) 35 + -8a = (-3 * 7 + 6a * 7) 35 + -8a = (-21 + 42a) Solving 35 + -8a = -21 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 35 + -8a + -42a = -21 + 42a + -42a Combine like terms: -8a + -42a = -50a 35 + -50a = -21 + 42a + -42a Combine like terms: 42a + -42a = 0 35 + -50a = -21 + 0 35 + -50a = -21 Add '-35' to each side of the equation. 35 + -35 + -50a = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -50a = -21 + -35 -50a = -21 + -35 Combine like terms: -21 + -35 = -56 -50a = -56 Divide each side by '-50'. a = 1.12 Simplifying a = 1.12
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