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Simplifying 2(3a + -9) = 2a + -10(a + -10) Reorder the terms: 2(-9 + 3a) = 2a + -10(a + -10) (-9 * 2 + 3a * 2) = 2a + -10(a + -10) (-18 + 6a) = 2a + -10(a + -10) Reorder the terms: -18 + 6a = 2a + -10(-10 + a) -18 + 6a = 2a + (-10 * -10 + a * -10) -18 + 6a = 2a + (100 + -10a) Reorder the terms: -18 + 6a = 100 + 2a + -10a Combine like terms: 2a + -10a = -8a -18 + 6a = 100 + -8a Solving -18 + 6a = 100 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -18 + 6a + 8a = 100 + -8a + 8a Combine like terms: 6a + 8a = 14a -18 + 14a = 100 + -8a + 8a Combine like terms: -8a + 8a = 0 -18 + 14a = 100 + 0 -18 + 14a = 100 Add '18' to each side of the equation. -18 + 18 + 14a = 100 + 18 Combine like terms: -18 + 18 = 0 0 + 14a = 100 + 18 14a = 100 + 18 Combine like terms: 100 + 18 = 118 14a = 118 Divide each side by '14'. a = 8.428571429 Simplifying a = 8.428571429
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