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Simplifying 6(a + -12) + -4 = -1a + 10 Reorder the terms: 6(-12 + a) + -4 = -1a + 10 (-12 * 6 + a * 6) + -4 = -1a + 10 (-72 + 6a) + -4 = -1a + 10 Reorder the terms: -72 + -4 + 6a = -1a + 10 Combine like terms: -72 + -4 = -76 -76 + 6a = -1a + 10 Reorder the terms: -76 + 6a = 10 + -1a Solving -76 + 6a = 10 + -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. -76 + 6a + a = 10 + -1a + a Combine like terms: 6a + a = 7a -76 + 7a = 10 + -1a + a Combine like terms: -1a + a = 0 -76 + 7a = 10 + 0 -76 + 7a = 10 Add '76' to each side of the equation. -76 + 76 + 7a = 10 + 76 Combine like terms: -76 + 76 = 0 0 + 7a = 10 + 76 7a = 10 + 76 Combine like terms: 10 + 76 = 86 7a = 86 Divide each side by '7'. a = 12.28571429 Simplifying a = 12.28571429
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