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Simplifying 4a + 13 = -7(6 + a) Reorder the terms: 13 + 4a = -7(6 + a) 13 + 4a = (6 * -7 + a * -7) 13 + 4a = (-42 + -7a) Solving 13 + 4a = -42 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 13 + 4a + 7a = -42 + -7a + 7a Combine like terms: 4a + 7a = 11a 13 + 11a = -42 + -7a + 7a Combine like terms: -7a + 7a = 0 13 + 11a = -42 + 0 13 + 11a = -42 Add '-13' to each side of the equation. 13 + -13 + 11a = -42 + -13 Combine like terms: 13 + -13 = 0 0 + 11a = -42 + -13 11a = -42 + -13 Combine like terms: -42 + -13 = -55 11a = -55 Divide each side by '11'. a = -5 Simplifying a = -5
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