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Simplifying 4(2a + 1) + -15 = 3(4a + -5) Reorder the terms: 4(1 + 2a) + -15 = 3(4a + -5) (1 * 4 + 2a * 4) + -15 = 3(4a + -5) (4 + 8a) + -15 = 3(4a + -5) Reorder the terms: 4 + -15 + 8a = 3(4a + -5) Combine like terms: 4 + -15 = -11 -11 + 8a = 3(4a + -5) Reorder the terms: -11 + 8a = 3(-5 + 4a) -11 + 8a = (-5 * 3 + 4a * 3) -11 + 8a = (-15 + 12a) Solving -11 + 8a = -15 + 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. -11 + 8a + -12a = -15 + 12a + -12a Combine like terms: 8a + -12a = -4a -11 + -4a = -15 + 12a + -12a Combine like terms: 12a + -12a = 0 -11 + -4a = -15 + 0 -11 + -4a = -15 Add '11' to each side of the equation. -11 + 11 + -4a = -15 + 11 Combine like terms: -11 + 11 = 0 0 + -4a = -15 + 11 -4a = -15 + 11 Combine like terms: -15 + 11 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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