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Simplifying a + -50 = 0.80(a + -100) Reorder the terms: -50 + a = 0.80(a + -100) Reorder the terms: -50 + a = 0.80(-100 + a) -50 + a = (-100 * 0.80 + a * 0.80) -50 + a = (-80 + 0.80a) Solving -50 + a = -80 + 0.80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.80a' to each side of the equation. -50 + a + -0.80a = -80 + 0.80a + -0.80a Combine like terms: a + -0.80a = 0.2a -50 + 0.2a = -80 + 0.80a + -0.80a Combine like terms: 0.80a + -0.80a = 0.00 -50 + 0.2a = -80 + 0.00 -50 + 0.2a = -80 Add '50' to each side of the equation. -50 + 50 + 0.2a = -80 + 50 Combine like terms: -50 + 50 = 0 0 + 0.2a = -80 + 50 0.2a = -80 + 50 Combine like terms: -80 + 50 = -30 0.2a = -30 Divide each side by '0.2'. a = -150 Simplifying a = -150
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