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Simplifying -1t + -19 = 4(t + 19) Reorder the terms: -19 + -1t = 4(t + 19) Reorder the terms: -19 + -1t = 4(19 + t) -19 + -1t = (19 * 4 + t * 4) -19 + -1t = (76 + 4t) Solving -19 + -1t = 76 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -19 + -1t + -4t = 76 + 4t + -4t Combine like terms: -1t + -4t = -5t -19 + -5t = 76 + 4t + -4t Combine like terms: 4t + -4t = 0 -19 + -5t = 76 + 0 -19 + -5t = 76 Add '19' to each side of the equation. -19 + 19 + -5t = 76 + 19 Combine like terms: -19 + 19 = 0 0 + -5t = 76 + 19 -5t = 76 + 19 Combine like terms: 76 + 19 = 95 -5t = 95 Divide each side by '-5'. t = -19 Simplifying t = -19
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