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Simplifying 42 = 7(a + -3) Reorder the terms: 42 = 7(-3 + a) 42 = (-3 * 7 + a * 7) 42 = (-21 + 7a) Solving 42 = -21 + 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 = -21 + 7a + -7a Combine like terms: 7a + -7a = 0 42 + -7a = -21 + 0 42 + -7a = -21 Add '-42' to each side of the equation. 42 + -42 + -7a = -21 + -42 Combine like terms: 42 + -42 = 0 0 + -7a = -21 + -42 -7a = -21 + -42 Combine like terms: -21 + -42 = -63 -7a = -63 Divide each side by '-7'. a = 9 Simplifying a = 9
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