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Simplifying 4(2a + -3) = 2(3a + -5) Reorder the terms: 4(-3 + 2a) = 2(3a + -5) (-3 * 4 + 2a * 4) = 2(3a + -5) (-12 + 8a) = 2(3a + -5) Reorder the terms: -12 + 8a = 2(-5 + 3a) -12 + 8a = (-5 * 2 + 3a * 2) -12 + 8a = (-10 + 6a) Solving -12 + 8a = -10 + 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. -12 + 8a + -6a = -10 + 6a + -6a Combine like terms: 8a + -6a = 2a -12 + 2a = -10 + 6a + -6a Combine like terms: 6a + -6a = 0 -12 + 2a = -10 + 0 -12 + 2a = -10 Add '12' to each side of the equation. -12 + 12 + 2a = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = -10 + 12 2a = -10 + 12 Combine like terms: -10 + 12 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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