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Simplifying 3a + 17 = 10a + -53 Reorder the terms: 17 + 3a = 10a + -53 Reorder the terms: 17 + 3a = -53 + 10a Solving 17 + 3a = -53 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 17 + 3a + -10a = -53 + 10a + -10a Combine like terms: 3a + -10a = -7a 17 + -7a = -53 + 10a + -10a Combine like terms: 10a + -10a = 0 17 + -7a = -53 + 0 17 + -7a = -53 Add '-17' to each side of the equation. 17 + -17 + -7a = -53 + -17 Combine like terms: 17 + -17 = 0 0 + -7a = -53 + -17 -7a = -53 + -17 Combine like terms: -53 + -17 = -70 -7a = -70 Divide each side by '-7'. a = 10 Simplifying a = 10
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