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Simplifying 0.7 + 8q = 4a + -1(-8q + 3.3) Reorder the terms: 0.7 + 8q = 4a + -1(3.3 + -8q) 0.7 + 8q = 4a + (3.3 * -1 + -8q * -1) 0.7 + 8q = 4a + (-3.3 + 8q) Reorder the terms: 0.7 + 8q = -3.3 + 4a + 8q Add '-8q' to each side of the equation. 0.7 + 8q + -8q = -3.3 + 4a + 8q + -8q Combine like terms: 8q + -8q = 0 0.7 + 0 = -3.3 + 4a + 8q + -8q 0.7 = -3.3 + 4a + 8q + -8q Combine like terms: 8q + -8q = 0 0.7 = -3.3 + 4a + 0 0.7 = -3.3 + 4a Solving 0.7 = -3.3 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 0.7 + -4a = -3.3 + 4a + -4a Combine like terms: 4a + -4a = 0 0.7 + -4a = -3.3 + 0 0.7 + -4a = -3.3 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -4a = -3.3 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -4a = -3.3 + -0.7 -4a = -3.3 + -0.7 Combine like terms: -3.3 + -0.7 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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