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Simplifying 5(a + -5) + 5 = 2(a + -7) Reorder the terms: 5(-5 + a) + 5 = 2(a + -7) (-5 * 5 + a * 5) + 5 = 2(a + -7) (-25 + 5a) + 5 = 2(a + -7) Reorder the terms: -25 + 5 + 5a = 2(a + -7) Combine like terms: -25 + 5 = -20 -20 + 5a = 2(a + -7) Reorder the terms: -20 + 5a = 2(-7 + a) -20 + 5a = (-7 * 2 + a * 2) -20 + 5a = (-14 + 2a) Solving -20 + 5a = -14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -20 + 5a + -2a = -14 + 2a + -2a Combine like terms: 5a + -2a = 3a -20 + 3a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 3a = -14 + 0 -20 + 3a = -14 Add '20' to each side of the equation. -20 + 20 + 3a = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 3a = -14 + 20 3a = -14 + 20 Combine like terms: -14 + 20 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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