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Simplifying 3a + -3[7 + 5a] = -9[2 + a] 3a + [7 * -3 + 5a * -3] = -9[2 + a] 3a + [-21 + -15a] = -9[2 + a] Reorder the terms: -21 + 3a + -15a = -9[2 + a] Combine like terms: 3a + -15a = -12a -21 + -12a = -9[2 + a] -21 + -12a = [2 * -9 + a * -9] -21 + -12a = [-18 + -9a] Solving -21 + -12a = -18 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -21 + -12a + 9a = -18 + -9a + 9a Combine like terms: -12a + 9a = -3a -21 + -3a = -18 + -9a + 9a Combine like terms: -9a + 9a = 0 -21 + -3a = -18 + 0 -21 + -3a = -18 Add '21' to each side of the equation. -21 + 21 + -3a = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -3a = -18 + 21 -3a = -18 + 21 Combine like terms: -18 + 21 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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