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Simplifying 7(a + -6) + 7 = 4(a + -5) Reorder the terms: 7(-6 + a) + 7 = 4(a + -5) (-6 * 7 + a * 7) + 7 = 4(a + -5) (-42 + 7a) + 7 = 4(a + -5) Reorder the terms: -42 + 7 + 7a = 4(a + -5) Combine like terms: -42 + 7 = -35 -35 + 7a = 4(a + -5) Reorder the terms: -35 + 7a = 4(-5 + a) -35 + 7a = (-5 * 4 + a * 4) -35 + 7a = (-20 + 4a) Solving -35 + 7a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -35 + 7a + -4a = -20 + 4a + -4a Combine like terms: 7a + -4a = 3a -35 + 3a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -35 + 3a = -20 + 0 -35 + 3a = -20 Add '35' to each side of the equation. -35 + 35 + 3a = -20 + 35 Combine like terms: -35 + 35 = 0 0 + 3a = -20 + 35 3a = -20 + 35 Combine like terms: -20 + 35 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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