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Simplifying 3 + 5(6a + -6) = 4a + -1 Reorder the terms: 3 + 5(-6 + 6a) = 4a + -1 3 + (-6 * 5 + 6a * 5) = 4a + -1 3 + (-30 + 30a) = 4a + -1 Combine like terms: 3 + -30 = -27 -27 + 30a = 4a + -1 Reorder the terms: -27 + 30a = -1 + 4a Solving -27 + 30a = -1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -27 + 30a + -4a = -1 + 4a + -4a Combine like terms: 30a + -4a = 26a -27 + 26a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -27 + 26a = -1 + 0 -27 + 26a = -1 Add '27' to each side of the equation. -27 + 27 + 26a = -1 + 27 Combine like terms: -27 + 27 = 0 0 + 26a = -1 + 27 26a = -1 + 27 Combine like terms: -1 + 27 = 26 26a = 26 Divide each side by '26'. a = 1 Simplifying a = 1
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