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Simplifying 10a + -50 + -28(a + -2) = 14(3a + 15) Reorder the terms: 10a + -50 + -28(-2 + a) = 14(3a + 15) 10a + -50 + (-2 * -28 + a * -28) = 14(3a + 15) 10a + -50 + (56 + -28a) = 14(3a + 15) Reorder the terms: -50 + 56 + 10a + -28a = 14(3a + 15) Combine like terms: -50 + 56 = 6 6 + 10a + -28a = 14(3a + 15) Combine like terms: 10a + -28a = -18a 6 + -18a = 14(3a + 15) Reorder the terms: 6 + -18a = 14(15 + 3a) 6 + -18a = (15 * 14 + 3a * 14) 6 + -18a = (210 + 42a) Solving 6 + -18a = 210 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 6 + -18a + -42a = 210 + 42a + -42a Combine like terms: -18a + -42a = -60a 6 + -60a = 210 + 42a + -42a Combine like terms: 42a + -42a = 0 6 + -60a = 210 + 0 6 + -60a = 210 Add '-6' to each side of the equation. 6 + -6 + -60a = 210 + -6 Combine like terms: 6 + -6 = 0 0 + -60a = 210 + -6 -60a = 210 + -6 Combine like terms: 210 + -6 = 204 -60a = 204 Divide each side by '-60'. a = -3.4 Simplifying a = -3.4
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