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Simplifying 7a + -1 = 4(3a + 6) Reorder the terms: -1 + 7a = 4(3a + 6) Reorder the terms: -1 + 7a = 4(6 + 3a) -1 + 7a = (6 * 4 + 3a * 4) -1 + 7a = (24 + 12a) Solving -1 + 7a = 24 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -1 + 7a + -12a = 24 + 12a + -12a Combine like terms: 7a + -12a = -5a -1 + -5a = 24 + 12a + -12a Combine like terms: 12a + -12a = 0 -1 + -5a = 24 + 0 -1 + -5a = 24 Add '1' to each side of the equation. -1 + 1 + -5a = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = 24 + 1 -5a = 24 + 1 Combine like terms: 24 + 1 = 25 -5a = 25 Divide each side by '-5'. a = -5 Simplifying a = -5
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