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Simplifying 2(a + -5) + -3 = 3(a + 1) + -6 Reorder the terms: 2(-5 + a) + -3 = 3(a + 1) + -6 (-5 * 2 + a * 2) + -3 = 3(a + 1) + -6 (-10 + 2a) + -3 = 3(a + 1) + -6 Reorder the terms: -10 + -3 + 2a = 3(a + 1) + -6 Combine like terms: -10 + -3 = -13 -13 + 2a = 3(a + 1) + -6 Reorder the terms: -13 + 2a = 3(1 + a) + -6 -13 + 2a = (1 * 3 + a * 3) + -6 -13 + 2a = (3 + 3a) + -6 Reorder the terms: -13 + 2a = 3 + -6 + 3a Combine like terms: 3 + -6 = -3 -13 + 2a = -3 + 3a Solving -13 + 2a = -3 + 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. -13 + 2a + -3a = -3 + 3a + -3a Combine like terms: 2a + -3a = -1a -13 + -1a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 -13 + -1a = -3 + 0 -13 + -1a = -3 Add '13' to each side of the equation. -13 + 13 + -1a = -3 + 13 Combine like terms: -13 + 13 = 0 0 + -1a = -3 + 13 -1a = -3 + 13 Combine like terms: -3 + 13 = 10 -1a = 10 Divide each side by '-1'. a = -10 Simplifying a = -10
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