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Simplifying 3a + -7 = 5a + -15 Reorder the terms: -7 + 3a = 5a + -15 Reorder the terms: -7 + 3a = -15 + 5a Solving -7 + 3a = -15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -7 + 3a + -5a = -15 + 5a + -5a Combine like terms: 3a + -5a = -2a -7 + -2a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 -7 + -2a = -15 + 0 -7 + -2a = -15 Add '7' to each side of the equation. -7 + 7 + -2a = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = -15 + 7 -2a = -15 + 7 Combine like terms: -15 + 7 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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