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Simplifying -8(10t + 8) = 8(10t + -4) Reorder the terms: -8(8 + 10t) = 8(10t + -4) (8 * -8 + 10t * -8) = 8(10t + -4) (-64 + -80t) = 8(10t + -4) Reorder the terms: -64 + -80t = 8(-4 + 10t) -64 + -80t = (-4 * 8 + 10t * 8) -64 + -80t = (-32 + 80t) Solving -64 + -80t = -32 + 80t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-80t' to each side of the equation. -64 + -80t + -80t = -32 + 80t + -80t Combine like terms: -80t + -80t = -160t -64 + -160t = -32 + 80t + -80t Combine like terms: 80t + -80t = 0 -64 + -160t = -32 + 0 -64 + -160t = -32 Add '64' to each side of the equation. -64 + 64 + -160t = -32 + 64 Combine like terms: -64 + 64 = 0 0 + -160t = -32 + 64 -160t = -32 + 64 Combine like terms: -32 + 64 = 32 -160t = 32 Divide each side by '-160'. t = -0.2 Simplifying t = -0.2
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