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Simplifying -7(a + 8) + 3 = -13 + 3a Reorder the terms: -7(8 + a) + 3 = -13 + 3a (8 * -7 + a * -7) + 3 = -13 + 3a (-56 + -7a) + 3 = -13 + 3a Reorder the terms: -56 + 3 + -7a = -13 + 3a Combine like terms: -56 + 3 = -53 -53 + -7a = -13 + 3a Solving -53 + -7a = -13 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -53 + -7a + -3a = -13 + 3a + -3a Combine like terms: -7a + -3a = -10a -53 + -10a = -13 + 3a + -3a Combine like terms: 3a + -3a = 0 -53 + -10a = -13 + 0 -53 + -10a = -13 Add '53' to each side of the equation. -53 + 53 + -10a = -13 + 53 Combine like terms: -53 + 53 = 0 0 + -10a = -13 + 53 -10a = -13 + 53 Combine like terms: -13 + 53 = 40 -10a = 40 Divide each side by '-10'. a = -4 Simplifying a = -4
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