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Simplifying 4(3a + -5) + -4 = 7(2a + -4) + 2a Reorder the terms: 4(-5 + 3a) + -4 = 7(2a + -4) + 2a (-5 * 4 + 3a * 4) + -4 = 7(2a + -4) + 2a (-20 + 12a) + -4 = 7(2a + -4) + 2a Reorder the terms: -20 + -4 + 12a = 7(2a + -4) + 2a Combine like terms: -20 + -4 = -24 -24 + 12a = 7(2a + -4) + 2a Reorder the terms: -24 + 12a = 7(-4 + 2a) + 2a -24 + 12a = (-4 * 7 + 2a * 7) + 2a -24 + 12a = (-28 + 14a) + 2a Combine like terms: 14a + 2a = 16a -24 + 12a = -28 + 16a Solving -24 + 12a = -28 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -24 + 12a + -16a = -28 + 16a + -16a Combine like terms: 12a + -16a = -4a -24 + -4a = -28 + 16a + -16a Combine like terms: 16a + -16a = 0 -24 + -4a = -28 + 0 -24 + -4a = -28 Add '24' to each side of the equation. -24 + 24 + -4a = -28 + 24 Combine like terms: -24 + 24 = 0 0 + -4a = -28 + 24 -4a = -28 + 24 Combine like terms: -28 + 24 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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