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Simplifying -63 = -3(a + -5) + 4(3 + -3a) Reorder the terms: -63 = -3(-5 + a) + 4(3 + -3a) -63 = (-5 * -3 + a * -3) + 4(3 + -3a) -63 = (15 + -3a) + 4(3 + -3a) -63 = 15 + -3a + (3 * 4 + -3a * 4) -63 = 15 + -3a + (12 + -12a) Reorder the terms: -63 = 15 + 12 + -3a + -12a Combine like terms: 15 + 12 = 27 -63 = 27 + -3a + -12a Combine like terms: -3a + -12a = -15a -63 = 27 + -15a Solving -63 = 27 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -63 + 15a = 27 + -15a + 15a Combine like terms: -15a + 15a = 0 -63 + 15a = 27 + 0 -63 + 15a = 27 Add '63' to each side of the equation. -63 + 63 + 15a = 27 + 63 Combine like terms: -63 + 63 = 0 0 + 15a = 27 + 63 15a = 27 + 63 Combine like terms: 27 + 63 = 90 15a = 90 Divide each side by '15'. a = 6 Simplifying a = 6
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