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Simplifying -42 = -2(4a + -7) + -3(-6a + 2) Reorder the terms: -42 = -2(-7 + 4a) + -3(-6a + 2) -42 = (-7 * -2 + 4a * -2) + -3(-6a + 2) -42 = (14 + -8a) + -3(-6a + 2) Reorder the terms: -42 = 14 + -8a + -3(2 + -6a) -42 = 14 + -8a + (2 * -3 + -6a * -3) -42 = 14 + -8a + (-6 + 18a) Reorder the terms: -42 = 14 + -6 + -8a + 18a Combine like terms: 14 + -6 = 8 -42 = 8 + -8a + 18a Combine like terms: -8a + 18a = 10a -42 = 8 + 10a Solving -42 = 8 + 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. -42 + -10a = 8 + 10a + -10a Combine like terms: 10a + -10a = 0 -42 + -10a = 8 + 0 -42 + -10a = 8 Add '42' to each side of the equation. -42 + 42 + -10a = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -10a = 8 + 42 -10a = 8 + 42 Combine like terms: 8 + 42 = 50 -10a = 50 Divide each side by '-10'. a = -5 Simplifying a = -5
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