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Simplifying a * 3 + 5 = a * 7 + -15 Reorder the terms for easier multiplication: 3a + 5 = a * 7 + -15 Reorder the terms: 5 + 3a = a * 7 + -15 Reorder the terms for easier multiplication: 5 + 3a = 7a + -15 Reorder the terms: 5 + 3a = -15 + 7a Solving 5 + 3a = -15 + 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 = -15 + 7a + -7a Combine like terms: 3a + -7a = -4a 5 + -4a = -15 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -4a = -15 + 0 5 + -4a = -15 Add '-5' to each side of the equation. 5 + -5 + -4a = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = -15 + -5 -4a = -15 + -5 Combine like terms: -15 + -5 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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