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Simplifying 130 + 70a = 80a + 40 Reorder the terms: 130 + 70a = 40 + 80a Solving 130 + 70a = 40 + 80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80a' to each side of the equation. 130 + 70a + -80a = 40 + 80a + -80a Combine like terms: 70a + -80a = -10a 130 + -10a = 40 + 80a + -80a Combine like terms: 80a + -80a = 0 130 + -10a = 40 + 0 130 + -10a = 40 Add '-130' to each side of the equation. 130 + -130 + -10a = 40 + -130 Combine like terms: 130 + -130 = 0 0 + -10a = 40 + -130 -10a = 40 + -130 Combine like terms: 40 + -130 = -90 -10a = -90 Divide each side by '-10'. a = 9 Simplifying a = 9
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