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Simplifying 2.0 + -3.5 = 2.5 + 0.5(5a + -7a) Combine like terms: 2.0 + -3.5 = -1.5 -1.5 = 2.5 + 0.5(5a + -7a) Combine like terms: 5a + -7a = -2a -1.5 = 2.5 + 0.5(-2a) Remove parenthesis around (-2a) -1.5 = 2.5 + 0.5 * -2a Multiply 0.5 * -2 -1.5 = 2.5 + -1a Solving -1.5 = 2.5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -1.5 + a = 2.5 + -1a + a Combine like terms: -1a + a = 0 -1.5 + a = 2.5 + 0 -1.5 + a = 2.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + a = 2.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + a = 2.5 + 1.5 a = 2.5 + 1.5 Combine like terms: 2.5 + 1.5 = 4 a = 4 Simplifying a = 4
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