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Simplifying 7(a + -3) = 8a + -2 Reorder the terms: 7(-3 + a) = 8a + -2 (-3 * 7 + a * 7) = 8a + -2 (-21 + 7a) = 8a + -2 Reorder the terms: -21 + 7a = -2 + 8a Solving -21 + 7a = -2 + 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. -21 + 7a + -8a = -2 + 8a + -8a Combine like terms: 7a + -8a = -1a -21 + -1a = -2 + 8a + -8a Combine like terms: 8a + -8a = 0 -21 + -1a = -2 + 0 -21 + -1a = -2 Add '21' to each side of the equation. -21 + 21 + -1a = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -1a = -2 + 21 -1a = -2 + 21 Combine like terms: -2 + 21 = 19 -1a = 19 Divide each side by '-1'. a = -19 Simplifying a = -19
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