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Simplifying 4(2a + -8) = 7(49a + 70) Reorder the terms: 4(-8 + 2a) = 7(49a + 70) (-8 * 4 + 2a * 4) = 7(49a + 70) (-32 + 8a) = 7(49a + 70) Reorder the terms: -32 + 8a = 7(70 + 49a) -32 + 8a = (70 * 7 + 49a * 7) -32 + 8a = (490 + 343a) Solving -32 + 8a = 490 + 343a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-343a' to each side of the equation. -32 + 8a + -343a = 490 + 343a + -343a Combine like terms: 8a + -343a = -335a -32 + -335a = 490 + 343a + -343a Combine like terms: 343a + -343a = 0 -32 + -335a = 490 + 0 -32 + -335a = 490 Add '32' to each side of the equation. -32 + 32 + -335a = 490 + 32 Combine like terms: -32 + 32 = 0 0 + -335a = 490 + 32 -335a = 490 + 32 Combine like terms: 490 + 32 = 522 -335a = 522 Divide each side by '-335'. a = -1.558208955 Simplifying a = -1.558208955
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