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Simplifying -1 + 4a = 3(2a + -5) Reorder the terms: -1 + 4a = 3(-5 + 2a) -1 + 4a = (-5 * 3 + 2a * 3) -1 + 4a = (-15 + 6a) Solving -1 + 4a = -15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -1 + 4a + -6a = -15 + 6a + -6a Combine like terms: 4a + -6a = -2a -1 + -2a = -15 + 6a + -6a Combine like terms: 6a + -6a = 0 -1 + -2a = -15 + 0 -1 + -2a = -15 Add '1' to each side of the equation. -1 + 1 + -2a = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = -15 + 1 -2a = -15 + 1 Combine like terms: -15 + 1 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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