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Simplifying -5a + 3 = 1 + 7(a + 8) Reorder the terms: 3 + -5a = 1 + 7(a + 8) Reorder the terms: 3 + -5a = 1 + 7(8 + a) 3 + -5a = 1 + (8 * 7 + a * 7) 3 + -5a = 1 + (56 + 7a) Combine like terms: 1 + 56 = 57 3 + -5a = 57 + 7a Solving 3 + -5a = 57 + 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. 3 + -5a + -7a = 57 + 7a + -7a Combine like terms: -5a + -7a = -12a 3 + -12a = 57 + 7a + -7a Combine like terms: 7a + -7a = 0 3 + -12a = 57 + 0 3 + -12a = 57 Add '-3' to each side of the equation. 3 + -3 + -12a = 57 + -3 Combine like terms: 3 + -3 = 0 0 + -12a = 57 + -3 -12a = 57 + -3 Combine like terms: 57 + -3 = 54 -12a = 54 Divide each side by '-12'. a = -4.5 Simplifying a = -4.5
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