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Simplifying 7a + 142 + 2a = 18a + -70 + -5a Reorder the terms: 142 + 7a + 2a = 18a + -70 + -5a Combine like terms: 7a + 2a = 9a 142 + 9a = 18a + -70 + -5a Reorder the terms: 142 + 9a = -70 + 18a + -5a Combine like terms: 18a + -5a = 13a 142 + 9a = -70 + 13a Solving 142 + 9a = -70 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 142 + 9a + -13a = -70 + 13a + -13a Combine like terms: 9a + -13a = -4a 142 + -4a = -70 + 13a + -13a Combine like terms: 13a + -13a = 0 142 + -4a = -70 + 0 142 + -4a = -70 Add '-142' to each side of the equation. 142 + -142 + -4a = -70 + -142 Combine like terms: 142 + -142 = 0 0 + -4a = -70 + -142 -4a = -70 + -142 Combine like terms: -70 + -142 = -212 -4a = -212 Divide each side by '-4'. a = 53 Simplifying a = 53
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