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Simplifying 4(1 + -1a) + -7 = 5(a + -6) (1 * 4 + -1a * 4) + -7 = 5(a + -6) (4 + -4a) + -7 = 5(a + -6) Reorder the terms: 4 + -7 + -4a = 5(a + -6) Combine like terms: 4 + -7 = -3 -3 + -4a = 5(a + -6) Reorder the terms: -3 + -4a = 5(-6 + a) -3 + -4a = (-6 * 5 + a * 5) -3 + -4a = (-30 + 5a) Solving -3 + -4a = -30 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -3 + -4a + -5a = -30 + 5a + -5a Combine like terms: -4a + -5a = -9a -3 + -9a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 -3 + -9a = -30 + 0 -3 + -9a = -30 Add '3' to each side of the equation. -3 + 3 + -9a = -30 + 3 Combine like terms: -3 + 3 = 0 0 + -9a = -30 + 3 -9a = -30 + 3 Combine like terms: -30 + 3 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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