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Simplifying 24 + -5 + -10a = -3(4 + -7a) Combine like terms: 24 + -5 = 19 19 + -10a = -3(4 + -7a) 19 + -10a = (4 * -3 + -7a * -3) 19 + -10a = (-12 + 21a) Solving 19 + -10a = -12 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 19 + -10a + -21a = -12 + 21a + -21a Combine like terms: -10a + -21a = -31a 19 + -31a = -12 + 21a + -21a Combine like terms: 21a + -21a = 0 19 + -31a = -12 + 0 19 + -31a = -12 Add '-19' to each side of the equation. 19 + -19 + -31a = -12 + -19 Combine like terms: 19 + -19 = 0 0 + -31a = -12 + -19 -31a = -12 + -19 Combine like terms: -12 + -19 = -31 -31a = -31 Divide each side by '-31'. a = 1 Simplifying a = 1
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