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Simplifying 4(-7a + 2) + 10 = -6 + 8a Reorder the terms: 4(2 + -7a) + 10 = -6 + 8a (2 * 4 + -7a * 4) + 10 = -6 + 8a (8 + -28a) + 10 = -6 + 8a Reorder the terms: 8 + 10 + -28a = -6 + 8a Combine like terms: 8 + 10 = 18 18 + -28a = -6 + 8a Solving 18 + -28a = -6 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 18 + -28a + -8a = -6 + 8a + -8a Combine like terms: -28a + -8a = -36a 18 + -36a = -6 + 8a + -8a Combine like terms: 8a + -8a = 0 18 + -36a = -6 + 0 18 + -36a = -6 Add '-18' to each side of the equation. 18 + -18 + -36a = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -36a = -6 + -18 -36a = -6 + -18 Combine like terms: -6 + -18 = -24 -36a = -24 Divide each side by '-36'. a = 0.6666666667 Simplifying a = 0.6666666667
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