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Simplifying 13a + -10 = 18(a + -30) Reorder the terms: -10 + 13a = 18(a + -30) Reorder the terms: -10 + 13a = 18(-30 + a) -10 + 13a = (-30 * 18 + a * 18) -10 + 13a = (-540 + 18a) Solving -10 + 13a = -540 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -10 + 13a + -18a = -540 + 18a + -18a Combine like terms: 13a + -18a = -5a -10 + -5a = -540 + 18a + -18a Combine like terms: 18a + -18a = 0 -10 + -5a = -540 + 0 -10 + -5a = -540 Add '10' to each side of the equation. -10 + 10 + -5a = -540 + 10 Combine like terms: -10 + 10 = 0 0 + -5a = -540 + 10 -5a = -540 + 10 Combine like terms: -540 + 10 = -530 -5a = -530 Divide each side by '-5'. a = 106 Simplifying a = 106
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