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Simplifying 7(a + -4) = 8a + 18 Reorder the terms: 7(-4 + a) = 8a + 18 (-4 * 7 + a * 7) = 8a + 18 (-28 + 7a) = 8a + 18 Reorder the terms: -28 + 7a = 18 + 8a Solving -28 + 7a = 18 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -28 + 7a + -8a = 18 + 8a + -8a Combine like terms: 7a + -8a = -1a -28 + -1a = 18 + 8a + -8a Combine like terms: 8a + -8a = 0 -28 + -1a = 18 + 0 -28 + -1a = 18 Add '28' to each side of the equation. -28 + 28 + -1a = 18 + 28 Combine like terms: -28 + 28 = 0 0 + -1a = 18 + 28 -1a = 18 + 28 Combine like terms: 18 + 28 = 46 -1a = 46 Divide each side by '-1'. a = -46 Simplifying a = -46
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