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Simplifying 10a + -45 = 3(a + -15) Reorder the terms: -45 + 10a = 3(a + -15) Reorder the terms: -45 + 10a = 3(-15 + a) -45 + 10a = (-15 * 3 + a * 3) -45 + 10a = (-45 + 3a) Add '45' to each side of the equation. -45 + 45 + 10a = -45 + 45 + 3a Combine like terms: -45 + 45 = 0 0 + 10a = -45 + 45 + 3a 10a = -45 + 45 + 3a Combine like terms: -45 + 45 = 0 10a = 0 + 3a 10a = 3a Solving 10a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10a + -3a = 3a + -3a Combine like terms: 10a + -3a = 7a 7a = 3a + -3a Combine like terms: 3a + -3a = 0 7a = 0 Divide each side by '7'. a = 0 Simplifying a = 0
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