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Simplifying 6(a + 3) + -10 = -2a + 7 Reorder the terms: 6(3 + a) + -10 = -2a + 7 (3 * 6 + a * 6) + -10 = -2a + 7 (18 + 6a) + -10 = -2a + 7 Reorder the terms: 18 + -10 + 6a = -2a + 7 Combine like terms: 18 + -10 = 8 8 + 6a = -2a + 7 Reorder the terms: 8 + 6a = 7 + -2a Solving 8 + 6a = 7 + -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. 8 + 6a + 2a = 7 + -2a + 2a Combine like terms: 6a + 2a = 8a 8 + 8a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + 8a = 7 + 0 8 + 8a = 7 Add '-8' to each side of the equation. 8 + -8 + 8a = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 8a = 7 + -8 8a = 7 + -8 Combine like terms: 7 + -8 = -1 8a = -1 Divide each side by '8'. a = -0.125 Simplifying a = -0.125
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