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Simplifying 130 = -3a + 7(3a + -2) Reorder the terms: 130 = -3a + 7(-2 + 3a) 130 = -3a + (-2 * 7 + 3a * 7) 130 = -3a + (-14 + 21a) Reorder the terms: 130 = -14 + -3a + 21a Combine like terms: -3a + 21a = 18a 130 = -14 + 18a Solving 130 = -14 + 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. 130 + -18a = -14 + 18a + -18a Combine like terms: 18a + -18a = 0 130 + -18a = -14 + 0 130 + -18a = -14 Add '-130' to each side of the equation. 130 + -130 + -18a = -14 + -130 Combine like terms: 130 + -130 = 0 0 + -18a = -14 + -130 -18a = -14 + -130 Combine like terms: -14 + -130 = -144 -18a = -144 Divide each side by '-18'. a = 8 Simplifying a = 8
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