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Simplifying 2.0 + -3.5 = 2.5 + 0.05(5a + -7a) Combine like terms: 2.0 + -3.5 = -1.5 -1.5 = 2.5 + 0.05(5a + -7a) Combine like terms: 5a + -7a = -2a -1.5 = 2.5 + 0.05(-2a) Remove parenthesis around (-2a) -1.5 = 2.5 + 0.05 * -2a Multiply 0.05 * -2 -1.5 = 2.5 + -0.1a Solving -1.5 = 2.5 + -0.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.1a' to each side of the equation. -1.5 + 0.1a = 2.5 + -0.1a + 0.1a Combine like terms: -0.1a + 0.1a = 0.0 -1.5 + 0.1a = 2.5 + 0.0 -1.5 + 0.1a = 2.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.1a = 2.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.1a = 2.5 + 1.5 0.1a = 2.5 + 1.5 Combine like terms: 2.5 + 1.5 = 4 0.1a = 4 Divide each side by '0.1'. a = 40 Simplifying a = 40
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