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Simplifying 4(a + -1) = 7a + 2 Reorder the terms: 4(-1 + a) = 7a + 2 (-1 * 4 + a * 4) = 7a + 2 (-4 + 4a) = 7a + 2 Reorder the terms: -4 + 4a = 2 + 7a Solving -4 + 4a = 2 + 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. -4 + 4a + -7a = 2 + 7a + -7a Combine like terms: 4a + -7a = -3a -4 + -3a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 -4 + -3a = 2 + 0 -4 + -3a = 2 Add '4' to each side of the equation. -4 + 4 + -3a = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = 2 + 4 -3a = 2 + 4 Combine like terms: 2 + 4 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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