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Simplifying -42 = -2a + -3(-4a + 4) Reorder the terms: -42 = -2a + -3(4 + -4a) -42 = -2a + (4 * -3 + -4a * -3) -42 = -2a + (-12 + 12a) Reorder the terms: -42 = -12 + -2a + 12a Combine like terms: -2a + 12a = 10a -42 = -12 + 10a Solving -42 = -12 + 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 = -12 + 10a + -10a Combine like terms: 10a + -10a = 0 -42 + -10a = -12 + 0 -42 + -10a = -12 Add '42' to each side of the equation. -42 + 42 + -10a = -12 + 42 Combine like terms: -42 + 42 = 0 0 + -10a = -12 + 42 -10a = -12 + 42 Combine like terms: -12 + 42 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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