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Simplifying 5(a + -7) + 10 = 3(a + -5) Reorder the terms: 5(-7 + a) + 10 = 3(a + -5) (-7 * 5 + a * 5) + 10 = 3(a + -5) (-35 + 5a) + 10 = 3(a + -5) Reorder the terms: -35 + 10 + 5a = 3(a + -5) Combine like terms: -35 + 10 = -25 -25 + 5a = 3(a + -5) Reorder the terms: -25 + 5a = 3(-5 + a) -25 + 5a = (-5 * 3 + a * 3) -25 + 5a = (-15 + 3a) Solving -25 + 5a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -25 + 5a + -3a = -15 + 3a + -3a Combine like terms: 5a + -3a = 2a -25 + 2a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -25 + 2a = -15 + 0 -25 + 2a = -15 Add '25' to each side of the equation. -25 + 25 + 2a = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 2a = -15 + 25 2a = -15 + 25 Combine like terms: -15 + 25 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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