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Simplifying 7(a + -6) + 27 = 2(a + -5) Reorder the terms: 7(-6 + a) + 27 = 2(a + -5) (-6 * 7 + a * 7) + 27 = 2(a + -5) (-42 + 7a) + 27 = 2(a + -5) Reorder the terms: -42 + 27 + 7a = 2(a + -5) Combine like terms: -42 + 27 = -15 -15 + 7a = 2(a + -5) Reorder the terms: -15 + 7a = 2(-5 + a) -15 + 7a = (-5 * 2 + a * 2) -15 + 7a = (-10 + 2a) Solving -15 + 7a = -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. -15 + 7a + -2a = -10 + 2a + -2a Combine like terms: 7a + -2a = 5a -15 + 5a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + 5a = -10 + 0 -15 + 5a = -10 Add '15' to each side of the equation. -15 + 15 + 5a = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 5a = -10 + 15 5a = -10 + 15 Combine like terms: -10 + 15 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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