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Simplifying -35 + 3a = 8 + -5(3 + -2a) -35 + 3a = 8 + (3 * -5 + -2a * -5) -35 + 3a = 8 + (-15 + 10a) Combine like terms: 8 + -15 = -7 -35 + 3a = -7 + 10a Solving -35 + 3a = -7 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -35 + 3a + -10a = -7 + 10a + -10a Combine like terms: 3a + -10a = -7a -35 + -7a = -7 + 10a + -10a Combine like terms: 10a + -10a = 0 -35 + -7a = -7 + 0 -35 + -7a = -7 Add '35' to each side of the equation. -35 + 35 + -7a = -7 + 35 Combine like terms: -35 + 35 = 0 0 + -7a = -7 + 35 -7a = -7 + 35 Combine like terms: -7 + 35 = 28 -7a = 28 Divide each side by '-7'. a = -4 Simplifying a = -4
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