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Simplifying -63 = -5(a + 5) + -4(1 + 3a) Reorder the terms: -63 = -5(5 + a) + -4(1 + 3a) -63 = (5 * -5 + a * -5) + -4(1 + 3a) -63 = (-25 + -5a) + -4(1 + 3a) -63 = -25 + -5a + (1 * -4 + 3a * -4) -63 = -25 + -5a + (-4 + -12a) Reorder the terms: -63 = -25 + -4 + -5a + -12a Combine like terms: -25 + -4 = -29 -63 = -29 + -5a + -12a Combine like terms: -5a + -12a = -17a -63 = -29 + -17a Solving -63 = -29 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. -63 + 17a = -29 + -17a + 17a Combine like terms: -17a + 17a = 0 -63 + 17a = -29 + 0 -63 + 17a = -29 Add '63' to each side of the equation. -63 + 63 + 17a = -29 + 63 Combine like terms: -63 + 63 = 0 0 + 17a = -29 + 63 17a = -29 + 63 Combine like terms: -29 + 63 = 34 17a = 34 Divide each side by '17'. a = 2 Simplifying a = 2
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