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Simplifying 8a + -2 = 3(4a + -5) Reorder the terms: -2 + 8a = 3(4a + -5) Reorder the terms: -2 + 8a = 3(-5 + 4a) -2 + 8a = (-5 * 3 + 4a * 3) -2 + 8a = (-15 + 12a) Solving -2 + 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. -2 + 8a + -12a = -15 + 12a + -12a Combine like terms: 8a + -12a = -4a -2 + -4a = -15 + 12a + -12a Combine like terms: 12a + -12a = 0 -2 + -4a = -15 + 0 -2 + -4a = -15 Add '2' to each side of the equation. -2 + 2 + -4a = -15 + 2 Combine like terms: -2 + 2 = 0 0 + -4a = -15 + 2 -4a = -15 + 2 Combine like terms: -15 + 2 = -13 -4a = -13 Divide each side by '-4'. a = 3.25 Simplifying a = 3.25
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