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Simplifying 2a + -2 = 7(a + -1) Reorder the terms: -2 + 2a = 7(a + -1) Reorder the terms: -2 + 2a = 7(-1 + a) -2 + 2a = (-1 * 7 + a * 7) -2 + 2a = (-7 + 7a) Solving -2 + 2a = -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. -2 + 2a + -7a = -7 + 7a + -7a Combine like terms: 2a + -7a = -5a -2 + -5a = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -5a = -7 + 0 -2 + -5a = -7 Add '2' to each side of the equation. -2 + 2 + -5a = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = -7 + 2 -5a = -7 + 2 Combine like terms: -7 + 2 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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