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Simplifying (5.3a + -0.8) + -1(1.6 + -4.7a) = 2a + -1(a + -0.3) Reorder the terms: (-0.8 + 5.3a) + -1(1.6 + -4.7a) = 2a + -1(a + -0.3) Remove parenthesis around (-0.8 + 5.3a) -0.8 + 5.3a + -1(1.6 + -4.7a) = 2a + -1(a + -0.3) -0.8 + 5.3a + (1.6 * -1 + -4.7a * -1) = 2a + -1(a + -0.3) -0.8 + 5.3a + (-1.6 + 4.7a) = 2a + -1(a + -0.3) Reorder the terms: -0.8 + -1.6 + 5.3a + 4.7a = 2a + -1(a + -0.3) Combine like terms: -0.8 + -1.6 = -2.4 -2.4 + 5.3a + 4.7a = 2a + -1(a + -0.3) Combine like terms: 5.3a + 4.7a = 10a -2.4 + 10a = 2a + -1(a + -0.3) Reorder the terms: -2.4 + 10a = 2a + -1(-0.3 + a) -2.4 + 10a = 2a + (-0.3 * -1 + a * -1) -2.4 + 10a = 2a + (0.3 + -1a) Reorder the terms: -2.4 + 10a = 0.3 + 2a + -1a Combine like terms: 2a + -1a = 1a -2.4 + 10a = 0.3 + 1a Solving -2.4 + 10a = 0.3 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2.4 + 10a + -1a = 0.3 + 1a + -1a Combine like terms: 10a + -1a = 9a -2.4 + 9a = 0.3 + 1a + -1a Combine like terms: 1a + -1a = 0 -2.4 + 9a = 0.3 + 0 -2.4 + 9a = 0.3 Add '2.4' to each side of the equation. -2.4 + 2.4 + 9a = 0.3 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 9a = 0.3 + 2.4 9a = 0.3 + 2.4 Combine like terms: 0.3 + 2.4 = 2.7 9a = 2.7 Divide each side by '9'. a = 0.3 Simplifying a = 0.3
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