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Simplifying -3 + 2a + -7 = 3(a + -8) + -3(7a + 2) Reorder the terms: -3 + -7 + 2a = 3(a + -8) + -3(7a + 2) Combine like terms: -3 + -7 = -10 -10 + 2a = 3(a + -8) + -3(7a + 2) Reorder the terms: -10 + 2a = 3(-8 + a) + -3(7a + 2) -10 + 2a = (-8 * 3 + a * 3) + -3(7a + 2) -10 + 2a = (-24 + 3a) + -3(7a + 2) Reorder the terms: -10 + 2a = -24 + 3a + -3(2 + 7a) -10 + 2a = -24 + 3a + (2 * -3 + 7a * -3) -10 + 2a = -24 + 3a + (-6 + -21a) Reorder the terms: -10 + 2a = -24 + -6 + 3a + -21a Combine like terms: -24 + -6 = -30 -10 + 2a = -30 + 3a + -21a Combine like terms: 3a + -21a = -18a -10 + 2a = -30 + -18a Solving -10 + 2a = -30 + -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. -10 + 2a + 18a = -30 + -18a + 18a Combine like terms: 2a + 18a = 20a -10 + 20a = -30 + -18a + 18a Combine like terms: -18a + 18a = 0 -10 + 20a = -30 + 0 -10 + 20a = -30 Add '10' to each side of the equation. -10 + 10 + 20a = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 20a = -30 + 10 20a = -30 + 10 Combine like terms: -30 + 10 = -20 20a = -20 Divide each side by '20'. a = -1 Simplifying a = -1
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