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Simplifying 3(4a + -5) = -7(-2a + 3) Reorder the terms: 3(-5 + 4a) = -7(-2a + 3) (-5 * 3 + 4a * 3) = -7(-2a + 3) (-15 + 12a) = -7(-2a + 3) Reorder the terms: -15 + 12a = -7(3 + -2a) -15 + 12a = (3 * -7 + -2a * -7) -15 + 12a = (-21 + 14a) Solving -15 + 12a = -21 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -15 + 12a + -14a = -21 + 14a + -14a Combine like terms: 12a + -14a = -2a -15 + -2a = -21 + 14a + -14a Combine like terms: 14a + -14a = 0 -15 + -2a = -21 + 0 -15 + -2a = -21 Add '15' to each side of the equation. -15 + 15 + -2a = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2a = -21 + 15 -2a = -21 + 15 Combine like terms: -21 + 15 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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