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Simplifying -1.7(a + 18) = -0.7(a + 19) Reorder the terms: -1.7(18 + a) = -0.7(a + 19) (18 * -1.7 + a * -1.7) = -0.7(a + 19) (-30.6 + -1.7a) = -0.7(a + 19) Reorder the terms: -30.6 + -1.7a = -0.7(19 + a) -30.6 + -1.7a = (19 * -0.7 + a * -0.7) -30.6 + -1.7a = (-13.3 + -0.7a) Solving -30.6 + -1.7a = -13.3 + -0.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.7a' to each side of the equation. -30.6 + -1.7a + 0.7a = -13.3 + -0.7a + 0.7a Combine like terms: -1.7a + 0.7a = -1a -30.6 + -1a = -13.3 + -0.7a + 0.7a Combine like terms: -0.7a + 0.7a = 0.0 -30.6 + -1a = -13.3 + 0.0 -30.6 + -1a = -13.3 Add '30.6' to each side of the equation. -30.6 + 30.6 + -1a = -13.3 + 30.6 Combine like terms: -30.6 + 30.6 = 0.0 0.0 + -1a = -13.3 + 30.6 -1a = -13.3 + 30.6 Combine like terms: -13.3 + 30.6 = 17.3 -1a = 17.3 Divide each side by '-1'. a = -17.3 Simplifying a = -17.3
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