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Simplifying 1 + 7a = 3(a + -5) Reorder the terms: 1 + 7a = 3(-5 + a) 1 + 7a = (-5 * 3 + a * 3) 1 + 7a = (-15 + 3a) Solving 1 + 7a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + 7a + -3a = -15 + 3a + -3a Combine like terms: 7a + -3a = 4a 1 + 4a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 4a = -15 + 0 1 + 4a = -15 Add '-1' to each side of the equation. 1 + -1 + 4a = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = -15 + -1 4a = -15 + -1 Combine like terms: -15 + -1 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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