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Simplifying 7(a + -4) = 35 + 8a Reorder the terms: 7(-4 + a) = 35 + 8a (-4 * 7 + a * 7) = 35 + 8a (-28 + 7a) = 35 + 8a Solving -28 + 7a = 35 + 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 = 35 + 8a + -8a Combine like terms: 7a + -8a = -1a -28 + -1a = 35 + 8a + -8a Combine like terms: 8a + -8a = 0 -28 + -1a = 35 + 0 -28 + -1a = 35 Add '28' to each side of the equation. -28 + 28 + -1a = 35 + 28 Combine like terms: -28 + 28 = 0 0 + -1a = 35 + 28 -1a = 35 + 28 Combine like terms: 35 + 28 = 63 -1a = 63 Divide each side by '-1'. a = -63 Simplifying a = -63
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