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Simplifying 7(a + -6) + 7 = 3(a + -5) Reorder the terms: 7(-6 + a) + 7 = 3(a + -5) (-6 * 7 + a * 7) + 7 = 3(a + -5) (-42 + 7a) + 7 = 3(a + -5) Reorder the terms: -42 + 7 + 7a = 3(a + -5) Combine like terms: -42 + 7 = -35 -35 + 7a = 3(a + -5) Reorder the terms: -35 + 7a = 3(-5 + a) -35 + 7a = (-5 * 3 + a * 3) -35 + 7a = (-15 + 3a) Solving -35 + 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. -35 + 7a + -3a = -15 + 3a + -3a Combine like terms: 7a + -3a = 4a -35 + 4a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -35 + 4a = -15 + 0 -35 + 4a = -15 Add '35' to each side of the equation. -35 + 35 + 4a = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 4a = -15 + 35 4a = -15 + 35 Combine like terms: -15 + 35 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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