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Simplifying 42 = 7(a + -4) Reorder the terms: 42 = 7(-4 + a) 42 = (-4 * 7 + a * 7) 42 = (-28 + 7a) Solving 42 = -28 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 42 + -7a = -28 + 7a + -7a Combine like terms: 7a + -7a = 0 42 + -7a = -28 + 0 42 + -7a = -28 Add '-42' to each side of the equation. 42 + -42 + -7a = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -7a = -28 + -42 -7a = -28 + -42 Combine like terms: -28 + -42 = -70 -7a = -70 Divide each side by '-7'. a = 10 Simplifying a = 10
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