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Simplifying 5(3a + -7) + -8a = -2(1 + -5a) Reorder the terms: 5(-7 + 3a) + -8a = -2(1 + -5a) (-7 * 5 + 3a * 5) + -8a = -2(1 + -5a) (-35 + 15a) + -8a = -2(1 + -5a) Combine like terms: 15a + -8a = 7a -35 + 7a = -2(1 + -5a) -35 + 7a = (1 * -2 + -5a * -2) -35 + 7a = (-2 + 10a) Solving -35 + 7a = -2 + 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 + 7a + -10a = -2 + 10a + -10a Combine like terms: 7a + -10a = -3a -35 + -3a = -2 + 10a + -10a Combine like terms: 10a + -10a = 0 -35 + -3a = -2 + 0 -35 + -3a = -2 Add '35' to each side of the equation. -35 + 35 + -3a = -2 + 35 Combine like terms: -35 + 35 = 0 0 + -3a = -2 + 35 -3a = -2 + 35 Combine like terms: -2 + 35 = 33 -3a = 33 Divide each side by '-3'. a = -11 Simplifying a = -11
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