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Simplifying -1.6(0.7 + 1.9a) + -3.82 = -2.7(0.2a + 1.9) (0.7 * -1.6 + 1.9a * -1.6) + -3.82 = -2.7(0.2a + 1.9) (-1.12 + -3.04a) + -3.82 = -2.7(0.2a + 1.9) Reorder the terms: -1.12 + -3.82 + -3.04a = -2.7(0.2a + 1.9) Combine like terms: -1.12 + -3.82 = -4.94 -4.94 + -3.04a = -2.7(0.2a + 1.9) Reorder the terms: -4.94 + -3.04a = -2.7(1.9 + 0.2a) -4.94 + -3.04a = (1.9 * -2.7 + 0.2a * -2.7) -4.94 + -3.04a = (-5.13 + -0.54a) Solving -4.94 + -3.04a = -5.13 + -0.54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.54a' to each side of the equation. -4.94 + -3.04a + 0.54a = -5.13 + -0.54a + 0.54a Combine like terms: -3.04a + 0.54a = -2.5a -4.94 + -2.5a = -5.13 + -0.54a + 0.54a Combine like terms: -0.54a + 0.54a = 0.00 -4.94 + -2.5a = -5.13 + 0.00 -4.94 + -2.5a = -5.13 Add '4.94' to each side of the equation. -4.94 + 4.94 + -2.5a = -5.13 + 4.94 Combine like terms: -4.94 + 4.94 = 0.00 0.00 + -2.5a = -5.13 + 4.94 -2.5a = -5.13 + 4.94 Combine like terms: -5.13 + 4.94 = -0.19 -2.5a = -0.19 Divide each side by '-2.5'. a = 0.076 Simplifying a = 0.076
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