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Simplifying 7(a + -7) + 10 = 3(a + -5) Reorder the terms: 7(-7 + a) + 10 = 3(a + -5) (-7 * 7 + a * 7) + 10 = 3(a + -5) (-49 + 7a) + 10 = 3(a + -5) Reorder the terms: -49 + 10 + 7a = 3(a + -5) Combine like terms: -49 + 10 = -39 -39 + 7a = 3(a + -5) Reorder the terms: -39 + 7a = 3(-5 + a) -39 + 7a = (-5 * 3 + a * 3) -39 + 7a = (-15 + 3a) Solving -39 + 7a = -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. -39 + 7a + -3a = -15 + 3a + -3a Combine like terms: 7a + -3a = 4a -39 + 4a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -39 + 4a = -15 + 0 -39 + 4a = -15 Add '39' to each side of the equation. -39 + 39 + 4a = -15 + 39 Combine like terms: -39 + 39 = 0 0 + 4a = -15 + 39 4a = -15 + 39 Combine like terms: -15 + 39 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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