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Simplifying 10(3 + -7a) = 2 + -12(1 + 5a) (3 * 10 + -7a * 10) = 2 + -12(1 + 5a) (30 + -70a) = 2 + -12(1 + 5a) 30 + -70a = 2 + (1 * -12 + 5a * -12) 30 + -70a = 2 + (-12 + -60a) Combine like terms: 2 + -12 = -10 30 + -70a = -10 + -60a Solving 30 + -70a = -10 + -60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60a' to each side of the equation. 30 + -70a + 60a = -10 + -60a + 60a Combine like terms: -70a + 60a = -10a 30 + -10a = -10 + -60a + 60a Combine like terms: -60a + 60a = 0 30 + -10a = -10 + 0 30 + -10a = -10 Add '-30' to each side of the equation. 30 + -30 + -10a = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -10a = -10 + -30 -10a = -10 + -30 Combine like terms: -10 + -30 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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