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Simplifying 4(a + -1) = 3(2a + -3) Reorder the terms: 4(-1 + a) = 3(2a + -3) (-1 * 4 + a * 4) = 3(2a + -3) (-4 + 4a) = 3(2a + -3) Reorder the terms: -4 + 4a = 3(-3 + 2a) -4 + 4a = (-3 * 3 + 2a * 3) -4 + 4a = (-9 + 6a) Solving -4 + 4a = -9 + 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. -4 + 4a + -6a = -9 + 6a + -6a Combine like terms: 4a + -6a = -2a -4 + -2a = -9 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + -2a = -9 + 0 -4 + -2a = -9 Add '4' to each side of the equation. -4 + 4 + -2a = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -9 + 4 -2a = -9 + 4 Combine like terms: -9 + 4 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5
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