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Simplifying A + -1.5(a + 8) = 10 Reorder the terms: A + -1.5(8 + a) = 10 A + (8 * -1.5 + a * -1.5) = 10 A + (-12 + -1.5a) = 10 Reorder the terms: -12 + A + -1.5a = 10 Solving -12 + A + -1.5a = 10 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '12' to each side of the equation. -12 + A + 12 + -1.5a = 10 + 12 Reorder the terms: -12 + 12 + A + -1.5a = 10 + 12 Combine like terms: -12 + 12 = 0 0 + A + -1.5a = 10 + 12 A + -1.5a = 10 + 12 Combine like terms: 10 + 12 = 22 A + -1.5a = 22 Add '1.5a' to each side of the equation. A + -1.5a + 1.5a = 22 + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 A + 0.0 = 22 + 1.5a A = 22 + 1.5a Simplifying A = 22 + 1.5a
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