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Simplifying 4(t + 4) = 116t + -72 + -68t Reorder the terms: 4(4 + t) = 116t + -72 + -68t (4 * 4 + t * 4) = 116t + -72 + -68t (16 + 4t) = 116t + -72 + -68t Reorder the terms: 16 + 4t = -72 + 116t + -68t Combine like terms: 116t + -68t = 48t 16 + 4t = -72 + 48t Solving 16 + 4t = -72 + 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 = -72 + 48t + -48t Combine like terms: 4t + -48t = -44t 16 + -44t = -72 + 48t + -48t Combine like terms: 48t + -48t = 0 16 + -44t = -72 + 0 16 + -44t = -72 Add '-16' to each side of the equation. 16 + -16 + -44t = -72 + -16 Combine like terms: 16 + -16 = 0 0 + -44t = -72 + -16 -44t = -72 + -16 Combine like terms: -72 + -16 = -88 -44t = -88 Divide each side by '-44'. t = 2 Simplifying t = 2
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