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Simplifying 6(a + 3) + -10 = -2(a + -4) Reorder the terms: 6(3 + a) + -10 = -2(a + -4) (3 * 6 + a * 6) + -10 = -2(a + -4) (18 + 6a) + -10 = -2(a + -4) Reorder the terms: 18 + -10 + 6a = -2(a + -4) Combine like terms: 18 + -10 = 8 8 + 6a = -2(a + -4) Reorder the terms: 8 + 6a = -2(-4 + a) 8 + 6a = (-4 * -2 + a * -2) 8 + 6a = (8 + -2a) Add '-8' to each side of the equation. 8 + -8 + 6a = 8 + -8 + -2a Combine like terms: 8 + -8 = 0 0 + 6a = 8 + -8 + -2a 6a = 8 + -8 + -2a Combine like terms: 8 + -8 = 0 6a = 0 + -2a 6a = -2a Solving 6a = -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. 6a + 2a = -2a + 2a Combine like terms: 6a + 2a = 8a 8a = -2a + 2a Combine like terms: -2a + 2a = 0 8a = 0 Divide each side by '8'. a = 0 Simplifying a = 0
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