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Simplifying 4(2a + -8) = 1(49a + 70) Reorder the terms: 4(-8 + 2a) = 1(49a + 70) (-8 * 4 + 2a * 4) = 1(49a + 70) (-32 + 8a) = 1(49a + 70) Reorder the terms: -32 + 8a = 1(70 + 49a) -32 + 8a = (70 * 1 + 49a * 1) -32 + 8a = (70 + 49a) Solving -32 + 8a = 70 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. -32 + 8a + -49a = 70 + 49a + -49a Combine like terms: 8a + -49a = -41a -32 + -41a = 70 + 49a + -49a Combine like terms: 49a + -49a = 0 -32 + -41a = 70 + 0 -32 + -41a = 70 Add '32' to each side of the equation. -32 + 32 + -41a = 70 + 32 Combine like terms: -32 + 32 = 0 0 + -41a = 70 + 32 -41a = 70 + 32 Combine like terms: 70 + 32 = 102 -41a = 102 Divide each side by '-41'. a = -2.487804878 Simplifying a = -2.487804878
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