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Simplifying 5(a + -7) + 10 = 2(a + -5) Reorder the terms: 5(-7 + a) + 10 = 2(a + -5) (-7 * 5 + a * 5) + 10 = 2(a + -5) (-35 + 5a) + 10 = 2(a + -5) Reorder the terms: -35 + 10 + 5a = 2(a + -5) Combine like terms: -35 + 10 = -25 -25 + 5a = 2(a + -5) Reorder the terms: -25 + 5a = 2(-5 + a) -25 + 5a = (-5 * 2 + a * 2) -25 + 5a = (-10 + 2a) Solving -25 + 5a = -10 + 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. -25 + 5a + -2a = -10 + 2a + -2a Combine like terms: 5a + -2a = 3a -25 + 3a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -25 + 3a = -10 + 0 -25 + 3a = -10 Add '25' to each side of the equation. -25 + 25 + 3a = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 3a = -10 + 25 3a = -10 + 25 Combine like terms: -10 + 25 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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