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Simplifying 0.2(a + -1) + -5a = 7 Reorder the terms: 0.2(-1 + a) + -5a = 7 (-1 * 0.2 + a * 0.2) + -5a = 7 (-0.2 + 0.2a) + -5a = 7 Combine like terms: 0.2a + -5a = -4.8a -0.2 + -4.8a = 7 Solving -0.2 + -4.8a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + -4.8a = 7 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -4.8a = 7 + 0.2 -4.8a = 7 + 0.2 Combine like terms: 7 + 0.2 = 7.2 -4.8a = 7.2 Divide each side by '-4.8'. a = -1.5 Simplifying a = -1.5
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