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Simplifying 45 = 4(a + 3) + -3 Reorder the terms: 45 = 4(3 + a) + -3 45 = (3 * 4 + a * 4) + -3 45 = (12 + 4a) + -3 Reorder the terms: 45 = 12 + -3 + 4a Combine like terms: 12 + -3 = 9 45 = 9 + 4a Solving 45 = 9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 45 + -4a = 9 + 4a + -4a Combine like terms: 4a + -4a = 0 45 + -4a = 9 + 0 45 + -4a = 9 Add '-45' to each side of the equation. 45 + -45 + -4a = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -4a = 9 + -45 -4a = 9 + -45 Combine like terms: 9 + -45 = -36 -4a = -36 Divide each side by '-4'. a = 9 Simplifying a = 9
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