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Simplifying 3a + 5 = 7(a + -1) Reorder the terms: 5 + 3a = 7(a + -1) Reorder the terms: 5 + 3a = 7(-1 + a) 5 + 3a = (-1 * 7 + a * 7) 5 + 3a = (-7 + 7a) Solving 5 + 3a = -7 + 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. 5 + 3a + -7a = -7 + 7a + -7a Combine like terms: 3a + -7a = -4a 5 + -4a = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -4a = -7 + 0 5 + -4a = -7 Add '-5' to each side of the equation. 5 + -5 + -4a = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = -7 + -5 -4a = -7 + -5 Combine like terms: -7 + -5 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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