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