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Simplifying 4(t + -4) = 116t + -2 + -68t Reorder the terms: 4(-4 + t) = 116t + -2 + -68t (-4 * 4 + t * 4) = 116t + -2 + -68t (-16 + 4t) = 116t + -2 + -68t Reorder the terms: -16 + 4t = -2 + 116t + -68t Combine like terms: 116t + -68t = 48t -16 + 4t = -2 + 48t Solving -16 + 4t = -2 + 48t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48t' to each side of the equation. -16 + 4t + -48t = -2 + 48t + -48t Combine like terms: 4t + -48t = -44t -16 + -44t = -2 + 48t + -48t Combine like terms: 48t + -48t = 0 -16 + -44t = -2 + 0 -16 + -44t = -2 Add '16' to each side of the equation. -16 + 16 + -44t = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -44t = -2 + 16 -44t = -2 + 16 Combine like terms: -2 + 16 = 14 -44t = 14 Divide each side by '-44'. t = -0.3181818182 Simplifying t = -0.3181818182
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