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Simplifying 2(a + -1) + -5a = 7a Reorder the terms: 2(-1 + a) + -5a = 7a (-1 * 2 + a * 2) + -5a = 7a (-2 + 2a) + -5a = 7a Combine like terms: 2a + -5a = -3a -2 + -3a = 7a Solving -2 + -3a = 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 + -3a + -7a = 7a + -7a Combine like terms: -3a + -7a = -10a -2 + -10a = 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -10a = 0 Add '2' to each side of the equation. -2 + 2 + -10a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -10a = 0 + 2 -10a = 0 + 2 Combine like terms: 0 + 2 = 2 -10a = 2 Divide each side by '-10'. a = -0.2 Simplifying a = -0.2
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