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Simplifying -5(a + 2) + 1 = 6 + -1(a + 3) Reorder the terms: -5(2 + a) + 1 = 6 + -1(a + 3) (2 * -5 + a * -5) + 1 = 6 + -1(a + 3) (-10 + -5a) + 1 = 6 + -1(a + 3) Reorder the terms: -10 + 1 + -5a = 6 + -1(a + 3) Combine like terms: -10 + 1 = -9 -9 + -5a = 6 + -1(a + 3) Reorder the terms: -9 + -5a = 6 + -1(3 + a) -9 + -5a = 6 + (3 * -1 + a * -1) -9 + -5a = 6 + (-3 + -1a) Combine like terms: 6 + -3 = 3 -9 + -5a = 3 + -1a Solving -9 + -5a = 3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -9 + -5a + a = 3 + -1a + a Combine like terms: -5a + a = -4a -9 + -4a = 3 + -1a + a Combine like terms: -1a + a = 0 -9 + -4a = 3 + 0 -9 + -4a = 3 Add '9' to each side of the equation. -9 + 9 + -4a = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -4a = 3 + 9 -4a = 3 + 9 Combine like terms: 3 + 9 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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